Dyck paths and a bijection for multisets of hook numbers

Ian Goulden; Alexander Yong

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Dyck paths and a bijection for multisets of hook numbers

Ian Goulden·Alexander Yong

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Abstract

We give a bijective proof of a conjecture of Regev and Vershik on the equality of two multisets of hook numbers of certain skew-Young diagrams. The bijection proves a result that is stronger and more symmetric than the original conjecture, by means of a construction involving Dyck paths, a particular type of lattice path.

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BibTeX RIS

Ian Goulden, Alexander Yong. 2001-02-28. Dyck paths and a bijection for multisets of hook numbers. https://arxiv.org/abs/math/0102223

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